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Simplifying -1.4(x + -15) = 2.4(x + -0.5) Reorder the terms: -1.4(-15 + x) = 2.4(x + -0.5) (-15 * -1.4 + x * -1.4) = 2.4(x + -0.5) (21 + -1.4x) = 2.4(x + -0.5) Reorder the terms: 21 + -1.4x = 2.4(-0.5 + x) 21 + -1.4x = (-0.5 * 2.4 + x * 2.4) 21 + -1.4x = (-1.2 + 2.4x) Solving 21 + -1.4x = -1.2 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 21 + -1.4x + -2.4x = -1.2 + 2.4x + -2.4x Combine like terms: -1.4x + -2.4x = -3.8x 21 + -3.8x = -1.2 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 21 + -3.8x = -1.2 + 0.0 21 + -3.8x = -1.2 Add '-21' to each side of the equation. 21 + -21 + -3.8x = -1.2 + -21 Combine like terms: 21 + -21 = 0 0 + -3.8x = -1.2 + -21 -3.8x = -1.2 + -21 Combine like terms: -1.2 + -21 = -22.2 -3.8x = -22.2 Divide each side by '-3.8'. x = 5.842105263 Simplifying x = 5.842105263
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